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Finding the Fourth Proportional to 403,771.80, 605,657.70 and 193,301.40

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Solution

The fourth proportional to 403,771.80, 605,657.70 and 193,301.40 is: 289,952.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,771.80 : 605,657.70 = 193,301.40 : x
  2. Step 2: Convert to fraction form
    403,771.80/605,657.70 = 193,301.40/x
  3. Step 3: Cross multiply
    403,771.80x = 605,657.70 × 193,301.40
  4. Step 4: Simplify right side
    403,771.80x = 117,074,481,330.78
  5. Step 5: Solve for x
    x = 117,074,481,330.78/403,771.80
  6. Step 6: Final answer
    x = 289,952.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.